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Finding the Fourth Proportional to 77,203.72, 115,788.16 and 39,214.52

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Solution

The fourth proportional to 77,203.72, 115,788.16 and 39,214.52 is: 58,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,203.72 : 115,788.16 = 39,214.52 : x
  2. Step 2: Convert to fraction form
    77,203.72/115,788.16 = 39,214.52/x
  3. Step 3: Cross multiply
    77,203.72x = 115,788.16 × 39,214.52
  4. Step 4: Simplify right side
    77,203.72x = 4,540,577,116.08
  5. Step 5: Solve for x
    x = 4,540,577,116.08/77,203.72
  6. Step 6: Final answer
    x = 58,812.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.